Multiaffine hybrid automata (MHA) represent a powerful formalism to model complex dynamical systems. This formalism is particularly suited for the representation of biological systems which often exhibit highly non-linear behavior. In this paper, we consider the problem of parameter identification for MHA. We present an abstraction of MHA based on linear hybrid automata, which can be analyzed by the SpaceEx model checker. This abstraction enables a precise handling of time-dependent properties. We demonstrate the potential of our approach on a model of a genetic regulatory network and a myocyte model.
This work was partly supported by the European Research Council (ERC) under grant 267989 (QUAREM), by the Austrian Science Fund (FWF) under grants S11402-N23, S11405-N23 and S11412-N23 (RiSE/SHiNE) and Z211-N23 (Wittgenstein Award), and by the German Research Foundation (DFG) as part of the Transregional Collaborative Research Center “Automatic Verification and Analysis of Complex Systems” (SFB/TR 14 AVACS, http://www.avacs.org/).
19 - 35
HVC: Haifa Verification Conference
2015-11-17 – 2015-11-19
Bogomolov S, Schilling C, Bartocci E, Batt G, Kong H, Grosu R. Abstraction-based parameter synthesis for multiaffine systems. In: Vol 9434. Springer; 2015:19-35. doi:10.1007/978-3-319-26287-1_2
Bogomolov, S., Schilling, C., Bartocci, E., Batt, G., Kong, H., & Grosu, R. (2015). Abstraction-based parameter synthesis for multiaffine systems (Vol. 9434, pp. 19–35). Presented at the HVC: Haifa Verification Conference, Haifa, Israel: Springer. https://doi.org/10.1007/978-3-319-26287-1_2
Bogomolov, Sergiy, Christian Schilling, Ezio Bartocci, Grégory Batt, Hui Kong, and Radu Grosu. “Abstraction-Based Parameter Synthesis for Multiaffine Systems,” 9434:19–35. Springer, 2015. https://doi.org/10.1007/978-3-319-26287-1_2.
S. Bogomolov, C. Schilling, E. Bartocci, G. Batt, H. Kong, and R. Grosu, “Abstraction-based parameter synthesis for multiaffine systems,” presented at the HVC: Haifa Verification Conference, Haifa, Israel, 2015, vol. 9434, pp. 19–35.
Bogomolov S, Schilling C, Bartocci E, Batt G, Kong H, Grosu R. 2015. Abstraction-based parameter synthesis for multiaffine systems. HVC: Haifa Verification Conference, LNCS, vol. 9434. 19–35.
Bogomolov, Sergiy, et al. Abstraction-Based Parameter Synthesis for Multiaffine Systems. Vol. 9434, Springer, 2015, pp. 19–35, doi:10.1007/978-3-319-26287-1_2.